175980252 has 96 divisors (see below), whose sum is σ = 486807552. Its totient is φ = 48436416.

The previous prime is 175980247. The next prime is 175980253. The reversal of 175980252 is 252089571.

It is a self number, because there is not a number n which added to its sum of digits gives 175980252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (175980253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299503 + ... + 300089.

It is an arithmetic number, because the mean of its divisors is an integer number (5070912).

Almost surely, 2^175980252 is an apocalyptic number.

175980252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 175980252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243403776).

175980252 is an abundant number, since it is smaller than the sum of its proper divisors (310827300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

175980252 is a wasteful number, since it uses less digits than its factorization.

175980252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 175980252 is about 13265.7548597884. The cubic root of 175980252 is about 560.3869052438.

The spelling of 175980252 in words is "one hundred seventy-five million, nine hundred eighty thousand, two hundred fifty-two".